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Mice21 [21]
3 years ago
5

How do you find the solutions of the equation 2sin^2(x)=1

Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0
Solve for x:
2 sin^2(x) = 1

Divide both sides by 2:
sin^2(x) = 1/2

Take the square root of both sides:
sin(x) = 1/sqrt(2) or sin(x) = -1/sqrt(2)

Take the inverse sine of both sides:
x = 2 π n_1 + (3 π)/4 for n_1 element Z or x = 2 π n_2 + π/4 for n_2 element Z or sin(x) = -1/sqrt(2)

Take the inverse sine of both sides:
Answer:  x = 2 π n_1 + (3 π)/4 for n_1 element Z or x = 2 π n_2 + π/4 for n_2 element Z or x = 2 π n_3 + (5 π)/4 for n_3 element Z or x = 2 π n_4 + (7 π)/4 for n_4 element Z
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Suppose that the probability that a customer plans to make a purchase is 0.32. Suppose that the probability of responding to an
Elanso [62]

Answer:

0.6495

Step-by-step explanation:

This is question based on conditional probability

The probability that a customer plans to make a purchase = 0.32.

The probability that a customer plans not to make a purchase = 1 - 0.32

= 0.68

The probability of responding to an advertisement given that the customer plans to make a purchase = 0.63

The probability of responding to an advertisement given that a person does not plan to make a purchase = 0.16.

Given that a person responds to the advertisement, what is the probability that they plan to make a purchase is calculated as:

0.32 × 0.63/(0.32 × 0.63) + (0.16 × 0.68)

= 0.2016/ 0.2016 + 0.1088

= 0.2016/0.3104

= 0.6494845361

Approximately = 0.6495

8 0
3 years ago
Identify the angle pair?
natta225 [31]

Answer:

Alternate Exterior Angles

6 0
3 years ago
If you multiply this number by 3 , then subtract 15 , the result is 51. What is the number?
bagirrra123 [75]
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8 0
3 years ago
the average age of 5 students is 9yrs out of them the ages of 4 students are 5,7,8,and 15yrs what is the age of remaining studen
valentinak56 [21]

Answer:

Step-by-step explanation:

Keep in mind that to find the average they would do:

Average = Sum of students' ages / number of students

So to solve this question we should firstly find the sum of all their ages.

To do this you multiply 5 by 9 = 45.

This means 45 is the sum of all 5 students' ages.

Next you are given four students have ages 5 , 7 , 8 and 15.

The sum of their ages are: 5 + 7 + 8 + 15 = 35

This means that the final student has age 45 - 35 = 10 years.

8 0
2 years ago
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